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Finding the Fourth Proportional to 2,425.68, 3,325.64 and 2,381.96

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Solution

The fourth proportional to 2,425.68, 3,325.64 and 2,381.96 is: 3,265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.68 : 3,325.64 = 2,381.96 : x
  2. Step 2: Convert to fraction form
    2,425.68/3,325.64 = 2,381.96/x
  3. Step 3: Cross multiply
    2,425.68x = 3,325.64 × 2,381.96
  4. Step 4: Simplify right side
    2,425.68x = 7,921,541.45
  5. Step 5: Solve for x
    x = 7,921,541.45/2,425.68
  6. Step 6: Final answer
    x = 3,265.70

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.